Given that is a relation defined on a set , and that is not reflexive, demonstrate whether it's possible for to be reflexive. My first thought is that it's not possible, but I doubt that that's true...
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What about the relation "is a brother of"?
Originally Posted by emakarov What about the relation "is a brother of"? Sorry, never heard of that one. I don't think it'd work anyways.
Originally Posted by Runty Given that is a relation defined on a set , and that is not reflexive, demonstrate whether it's possible for to be reflexive. By I assume that you mean . If so, consider the set and the relation . Clearly is not reflexive. What about
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